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Finding the Fourth Proportional to 31,178.72, 46,779.60 and 11,470.16

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Solution

The fourth proportional to 31,178.72, 46,779.60 and 11,470.16 is: 17,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.72 : 46,779.60 = 11,470.16 : x
  2. Step 2: Convert to fraction form
    31,178.72/46,779.60 = 11,470.16/x
  3. Step 3: Cross multiply
    31,178.72x = 46,779.60 × 11,470.16
  4. Step 4: Simplify right side
    31,178.72x = 536,569,496.74
  5. Step 5: Solve for x
    x = 536,569,496.74/31,178.72
  6. Step 6: Final answer
    x = 17,209.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.